Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

Li Luo

doi:10.1016/j.jalgebra.2011.12.014

Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

Li Luo^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.

Original language	English
Pages (from-to)	31-61
Number of pages	31
Journal	Journal of Algebra
Volume	353
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.12.014
State	Published - 1 Mar 2012

Keywords

Character formula
Cohomology
Generalized Verma module
Ortho-symplectic superalgebra
Tensor module

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10.1016/j.jalgebra.2011.12.014

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title = "Character formulae for ortho-symplectic Lie superalgebras osp(n|2)",

abstract = "The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.",

keywords = "Character formula, Cohomology, Generalized Verma module, Ortho-symplectic superalgebra, Tensor module",

author = "Li Luo",

year = "2012",

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doi = "10.1016/j.jalgebra.2011.12.014",

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AU - Luo, Li

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AB - The characters of finite-dimensional irreducible modules of the Lie superalgebra osp(n|2) are completely determined in terms of those of generalized Verma modules. As a by-product, the irreducible decomposition of the tensor of any finite-dimensional irreducible module with the natural module is obtained.

KW - Character formula

KW - Cohomology

KW - Generalized Verma module

KW - Ortho-symplectic superalgebra

KW - Tensor module

UR - https://www.scopus.com/pages/publications/84855936533

U2 - 10.1016/j.jalgebra.2011.12.014

DO - 10.1016/j.jalgebra.2011.12.014

M3 - 文章

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SP - 31

EP - 61

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Character formulae for ortho-symplectic Lie superalgebras osp(n|2)

Abstract

Keywords

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